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3 years ago

Create a linear function that has a rate of change of -3 and a solution at (5,2)

Mathematics

1 answer:

jeyben [28]3 years ago

8 0

Answer:

y = - 3x + 17

Step-by-step explanation:

Note that slope is a measure of the rate of change of a linear function.

Express the function in slope- intercept form

y = mx + c ( m is the slope and c the y- intercept )

here m = - 3, thus

y = - 3x + c ← is the partial equation

To find c substitute (5, 2) into the partial function

2 = - 15 + c ⇒ c = 2 + 15 = 17

y = - 3x + 17 ← is the linear function

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What is margin of error??

Tems11 [23]

Answer:

The margin of error for a sample size of 250 is 6

Step-by-step explanation:

The margin of error is given as

1/square root of the sample size

Thus, margin of error for a sapless size of 250 is

1/√250

= 1/15. 811

= 6

8 0

3 years ago

How does the graph of f(x)=3lx+2l+4 relate to its parent function?

Sergeeva-Olga [200]

$\bf \qquad \qquad \qquad \qquad \textit{function transformations}
\\ \quad \\\\

\begin{array}{rllll} 
% left side templates
f(x)=&{{ A}}({{ B}}x+{{ C}})+{{ D}}
\\ \quad \\
y=&{{ A}}({{ B}}x+{{ C}})+{{ D}}
\\ \quad \\
f(x)=&{{ A}}\sqrt{{{ B}}x+{{ C}}}+{{ D}}
\\ \quad \\
f(x)=&{{ A}}(\mathbb{R})^{{{ B}}x+{{ C}}}+{{ D}}
\\ \quad \\
f(x)=&{{ A}} sin\left({{ B }}x+{{ C}} \right)+{{ D}}
\end{array}$

$\bf \begin{array}{llll}
% right side info
\bullet \textit{ stretches or shrinks horizontally by } {{ A}}\cdot {{ B}}\\\\
\bullet \textit{ flips it upside-down if }{{ A}}\textit{ is negative}
\\\\
\bullet \textit{ horizontal shift by }\frac{{{ C}}}{{{ B}}}\\
\qquad if\ \frac{{{ C}}}{{{ B}}}\textit{ is negative, to the right}\\\\
\qquad if\ \frac{{{ C}}}{{{ B}}}\textit{ is positive, to the left}\\\\
\end{array}$

$\bf \begin{array}{llll}


\bullet \textit{ vertical shift by }{{ D}}\\
\qquad if\ {{ D}}\textit{ is negative, downwards}\\\\
\qquad if\ {{ D}}\textit{ is positive, upwards}\\\\
\bullet \textit{ period of }\frac{2\pi }{{{ B}}}
\end{array}$

now, with that template above in mind, let's see this one

$\bf parent\implies f(x)=|x|
\\\\\\
\begin{array}{lllcclll}
f(x)=&3|&1x&+2|&+4\\
&\uparrow &\uparrow &\uparrow &\uparrow \\
&A&B&C&D
\end{array}$

A=3, B=1, shrunk by AB or 3 units, about 1/3
C=2, horizontal shift by C/B or 2/1 or just 2, to the left
D=4, vertical shift upwards of 4 units

check the picture below

7 0

3 years ago

The tennis team is having a fundraiser for uniforms for it’s nine players. the total cost for the uniforms is $759.84 and the te

Sonja [21]

Answer:

C. 9x + 224.36 ≥ 759.84

Step-by-step explanation:

If each team member raises x dollars, the 9 team members will have raised 9x dollars. That amount added to the amount they already have must equal or exceed the amount required:

9x + 224.36 ≥ 759.84 . . . . matches selection C

5 0

3 years ago

I need to know the perimeter because i can't figure out some of the side lengths.

blsea [12.9K]

The primeter is the outside p=2+2 +3+1+1 so the primiter is 9

3 0

3 years ago

4/-7 + -6/5 <br><br>In simplest form

nlexa [21]

See attachment for math work and answer.

6 0

3 years ago